Consistency check on the fundamental and alternative flux operators in loop quantum gravity

[1]
C. Rovelli, Quantum Gravity, (Cambridge University Press, 2004)
[2]
T. Thiemann, Modern Canonical Quantum General Relativity, (Cambridge University Press, 2007)
[3]
T. Thiemann, Lect. Notes Phys., 631: 41-135 (2003)
[4]
A. Ashtekar and J. Lewandowski, Class. Quant. Grav., 21: R53 (2004)
[5]
M. Han, W. Huang, and Y. Ma, Int. J. Mod. Phys. D, 16: 1397-1474 (2007)
[6]
K. Giesel and H. Sahlmann, PoS, QGQGS2011: 002 (2011)
[7]
J. Lewandowski, A. Okołów, H. Sahlmann et al, Commun. Math. Phys., 267: 703-733 (2006)
[8]
C. Rovelli and L. Smolin, Nucl. Phys. B, 442: 593-622 (1995)
[9]
A. Ashtekar and J. Lewandowski, Class. Quant. Grav., 14: A55-A82 (1997)
[10]
A. Ashtekar and J. Lewandowski, Adv. Theor. Math. Phys., 1: 388-429 (1998)
[11]
T. Thiemann, J. Math. Phys., 39: 3372-3392 (1998)
[12]
Y. Ma, C. Soo, and J. Yang, Phys. Rev. D, 81: 124026 (2010)
[13]
T. Thiemann, Class. Quant. Grav., 15: 839-873 (1998)
[14]
J. Yang and Y. Ma, Phys. Lett. B, 751: 343-347 (2015)
[15]
E. Alesci, M. Assanioussi, J. Lewandowski et al, Phys. Rev. D, 91: 124067 (2015)
[16]
E. Alesci, T. Thiemann, and A. Zipfel, Phys. Rev. D, 86: 024017 (2012)
[17]
T. Thiemann and A. Zipfel, Class. Quant. Grav., 31: 125008 (2014)
[18]
C. Zhang, J. Lewandowski, and Y. Ma, Phys. Rev. D, 98: 086014 (2018)
[19]
C. Zhang, J. Lewandowski, H. Li et al, Phys. Rev. D, 99: 124012 (2019)
[20]
X. Zhang and Y. Ma, Phys. Rev. Lett., 106: 171301 (2011)
[21]
X. Zhang and Y. Ma, Phys. Rev. D, 84: 064040 (2011)
[22]
X. Zhang and Y. Ma, Phys. Rev. D, 84: 104045 (2011)
[23]
X. Zhang and Y. Ma, J. Phys. Conf. Ser., 360: 012055 (2012)
[24]
Y. Ma, J. Phys. Conf. Ser., 360: 012006 (2012)
[25]
J. Engle, R. Pereira, and C. Rovelli, Nucl. Phys. B, 798: 251-290 (2008)
[26]
L. Freidel and K. Krasnov, Class. Quant. Grav., 25: 125018 (2008)
[27]
W. Kamiński, M. Kisielowski, and J. Lewandowski, Class. Quant. Grav., 27: 095006 (2010)
[28]
Y. Ding, M. Han, and C. Rovelli, Phys. Rev. D, 83: 124020 (2011)
[29]
T. Thiemann, Class. Quant. Grav., 15: 1281-1314 (1998)
[30]
K. Giesel and T. Thiemann, Class. Quant. Grav., 23: 5667-5692 (2006)
[31]
K. Giesel and T. Thiemann, Class. Quant. Grav., 23: 5693-5772 (2006)
[32]
J. Yang and Y. Ma, Phys. Rev. D, 94: 044003 (2016)
[33]
D. M. Brink and G. R. Satchler, Angular Momentum, (Clarendon Press, 1968)
[34]
A. P. Yutsis, I. B. Levinson, and V. V. Vanagas, Mathematical Apparatus of the Theory of Angular Momentum. Israel Program for Scientific Translations, Translated from Russian by A. Sen and R. N, Sen, 1962
[35]
J. Yang and Y. Ma, Eur. Phys. J. C, 77: 235 (2017)
[36]
A. Ashtekar and C. J. Isham, Class. Quant. Grav., 9: 1433-1468 (1992)
[37]
A. Ashtekar and J. Lewandowski, J. Math. Phys., 36: 2170-2191 (1995)
[38]
T. Thiemann, J. Math. Phys., 39: 3347-3371 (1998)
[39]
J. Brunnemann and T. Thiemann, Class. Quant. Grav., 23: 1289-1346 (2006)